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Simplifying 5w + -1(-3) = 3w + -5 Multiply -1 * -3 5w + 3 = 3w + -5 Reorder the terms: 3 + 5w = 3w + -5 Reorder the terms: 3 + 5w = -5 + 3w Solving 3 + 5w = -5 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 3 + 5w + -3w = -5 + 3w + -3w Combine like terms: 5w + -3w = 2w 3 + 2w = -5 + 3w + -3w Combine like terms: 3w + -3w = 0 3 + 2w = -5 + 0 3 + 2w = -5 Add '-3' to each side of the equation. 3 + -3 + 2w = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = -5 + -3 2w = -5 + -3 Combine like terms: -5 + -3 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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